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6892428672 = 27353753113
BaseRepresentation
bin1100110101101001…
…00001110110000000
3122210100022122200000
412122310201312000
5103103430204142
63055532400000
7332541451143
oct63264416600
918710278600
106892428672
112a17661748
121404316000
1385ac4117c
1449555805a
152a516b14c
hex19ad21d80

6892428672 has 384 divisors, whose sum is σ = 21713196960. Its totient is φ = 2173796352.

The previous prime is 6892428667. The next prime is 6892428721. The reversal of 6892428672 is 2768242986.

6892428672 is a `hidden beast` number, since 68 + 92 + 428 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60994888 + ... + 60995000.

Almost surely, 26892428672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6892428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856598480).

6892428672 is an abundant number, since it is smaller than the sum of its proper divisors (14820768288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6892428672 is a wasteful number, since it uses less digits than its factorization.

6892428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 6892428672 is about 83020.6520812743. The cubic root of 6892428672 is about 1903.0816723471.

The spelling of 6892428672 in words is "six billion, eight hundred ninety-two million, four hundred twenty-eight thousand, six hundred seventy-two".